1-Dimensional Harnack Estimates
Tarih
2016Yazar
Duzgun, Fatma Gamze
Gianazza, Ugo
Vespri, Vincenzo
1
CITATION
1
Total citation
0
Recent citations
0.39
Field Citation Ratio
n/a
Relative Citation Ratio
- Citations
- Scopus - Citation Indexes: 2
- Captures
- Mendeley - Readers: 2
publications
0
supporting
0
mentioning
0
contrasting
0
0
0
0
0
Citing PublicationsSupportingMentioningContrasting
See how this article has been cited at scite.ai
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Üst veri
Tüm öğe kaydını gösterÖzet
Let u be a non-negative super-solution to a 1-dimensional singular parabolic equation of p-Laplacian type (1 < p < 2). If u is bounded below on a time-segment {y} x (0, T] by a positive number M, then it has a power like decay of order 2 Pp with respect to the space variable x in R x [T/2, T]. This fact, stated quantitatively in Proposition 1.2, is a "sidewise spreading of positivity" of solutions to such singular equations, and can be considered as a form of Harnack inequality. The proof of such an effect is based on geometrical ideas.